Solve for x. -25 x+175 > 225quad" AND "quad5x-83 >= -73 Choose 1 answer: (A) x = 2 (B) x = 2 (D) There are no solutions (E) All values of x are solutions

Solve first inequality: First, let's solve the inequality -25x + 175 > 225. Subtract 175 from both sides to isolate the term with x. -25x + 175 - 175 > 225 - 175 -25x > 50 Now, divide both sides by -25 to solve for x. Remember that dividing by a negative number reverses the inequality sign. x = -73. Add 83 to both sides to isolate the term with x. 5x - 83 + 83 >= -73 + 83 5x >= 10 Now, divide both sides by 5 to solve for x. x >= 2Consider both inequalities: Now we have two inequalities to consider: x = 2 from the second inequality. These two inequalities do not overlap; they represent two separate ranges on the number line. Therefore, there is no single value of x that satisfies both inequalities simultaneously.

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Solve for
x.

-25 x+175 > 225quad" AND "quad5x-83 >= -73
Choose 1 answer:
(A)
x < -2 or
x >= 2
(B)
x < -2
(C)
x >= 2
(D) There are no solutions
(E) All values of
x are solutions

Solve for $x$ . $\newline$ -25 x+175>225 \quad \text { AND } \quad 5 x-83 \geq-73 $\newline$ Choose $1$ answer: $\newline$ (A) x<-2 or $x \geq 2$ $\newline$ (B) x<-2 $\newline$ (C) $x \geq 2$ $\newline$ (D) There are no solutions $\newline$ (E) All values of $x$ are solutions

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Math Problems

Algebra 1

Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Solve for

x

\newline

-25 x+175>225 \quad \text { AND } \quad 5 x-83 \geq-73

\newline

Choose

1

answer:

\newline

(A)

x<-2

x \geq 2

\newline

(B)

x<-2

\newline

(C)

x \geq 2

\newline

(D) There are no solutions

\newline

(E) All values of

x

are solutions

Solve first inequality: First, let's solve the inequality -25x + 175 > 225. $\newline$ Subtract $175$ from both sides to isolate the term with $x$ . $\newline$ -25x + 175 - 175 > 225 - 175 $\newline$ -25x > 50 $\newline$ Now, divide both sides by $-25$ to solve for $x$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ x < -2
Solve second inequality: Next, let's solve the second inequality $5x - 83 \geq -73$ . $\newline$ Add $83$ to both sides to isolate the term with $x$ . $\newline$ $5x - 83 + 83 \geq -73 + 83$ $\newline$ $5x \geq 10$ $\newline$ Now, divide both sides by $5$ to solve for $x$ . $\newline$ $x \geq 2$
Consider both inequalities: Now we have two inequalities to consider: $\newline$ x < -2 from the first inequality, and $\newline$ $x \geq 2$ from the second inequality. $\newline$ These two inequalities do not overlap; they represent two separate ranges on the number line. Therefore, there is no single value of $x$ that satisfies both inequalities simultaneously.